What is the standard deviation of the data? 0.5 1.5 2.0 2.5

Answers

Answer 1

Answer:

0.74

Step-by-step explanation:

The standard deviation of a data set is the sqaure root of the variance, so first we must find the variance. The equation for variance is:

σ² = [tex]\frac{{(x_{1}-[x bar] )}^{2}+...+{(x_{n}-[x bar]) }^{2}}{n}[/tex]

x = number in the data set
xbar = median of the data set
n = number of terms

Plugging in the given values, the equation for the variance of this number set is:

σ² = [tex]\frac{(0.5 - 1.625)^{2} + (1.5 - 1.625)^{2}+ (2.0 - 1.625)^{2}+(2.5 - 1.625)^{2} }{4}[/tex]

Solving:

= [tex]\frac{1.265625+0.015625+0.140625+0.765625}{4}[/tex]

= [tex]\frac{2.1875}{4}[/tex]

σ² = 0.546875

Since the standard devianation is the sqaure root of the variance, we'll sqaure 0.546875:

[tex]\sqrt{0.546875}[/tex]

= 0.73950997288745

= 0.74 (rounded)

hope this helps!

Answer 2

Answer:

0.5

Step-by-step explanation
Because it is a standar deviation


Related Questions

what ratio is equivalent to 1.5:6

Answers

Answer:

2:10:12

Step-by-step explanation:

I multiplied all of the numbers by 2

It doesn't matter what number you multiply the numbers by, as long as you multiply all 3 of them.

On a coordinate plane, how are the locations of the points (-7 , -4) and (7 , -4) related?A.
A. locations unrelated
B.reflection across the x-axis
C.reflection across both axes
D. reflection across the y-axis

Answers

Answer: reflection across y axis

Step-by-step explanation:

Which expression is equivalent to 2x^2-10x-48in factored form?

Answers

Answer: B

Step-by-step explanation:

3. A scale drawing of a park is shown.
2.5 in
1.5 in
Scale: 1 in = 15 yd
If the scale is changed from 1 inch to 10 yards, which will be the scale drawing of the park?
A.
3.75 in
2 in
2.25 in
in
3
3 in
1.875 in
2 in
1.125 in

Answers

Answer: a

Step-by-step explanation:

Converting using the scale 1 in = 15 yd, we get that the dimensions of the park are 22.5 inches by 37.5 inches.

So, converting this back using 1 inch to 10 yards, we get dimensions of 2.25 inches by 3.75 inches.

Please help with this geometry work asp

Answers

Answer:

x=21

y=45

z=101

Step-by-step explanation:

Angles crossing each other are congruent

86=4x+2

84=4x

x=21

Quadrilateral has 360 degrees

86 + 86 + 2y+4 + z-7 = 360

172 + 2y+4 + z-7 = 360

2y+4=94

2y=90

y=45

z-7=94

z=101

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What is the value of B for the following triangular prism?

Answers

It would be 48ft2. If you need help with anything just ask

Does B refer to the base of this

please help me
covert 2km to m
convert 3 decimeter to mm
covert 1km to cm​

Answers

Answer:

2,000 m

300 mm

100,000 cm

Step-by-step explanation:

Answer:

2 km converted to meters is 2000 meters

3 decimeters converted to millimeters is 300 mm

1 km converted to centimeters is 100,000 centimeters

Kendra is a professional diver. She practices between 80-100 dives before every competition. About how many dives will she practice if she has 12 competitions?

Answers

960-1,200 dives

Explanation:
If she practices 80-100 dives in 1 competition
You would times those numbers by 12 since there will be 12 competitions

Answer:

She will practice about 960-1200 dives before those competitions in total

Step-by-step explanation:

All you have to do is multiply the number of dives by the number of competitions she has.

The area of a piece of land is 4,951,000 square meters how is this number of square meters written in scientific notation

Answers

Answer:

its 4.951 x 106

Step-by-step explanation:

i took the tfar from k12

The area of a piece of land in scientific notation is 4.95 * 10⁶ square meters

How to determine the area of a piece of land in scientific notation

from the question, we have the following parameters that can be used in our computation:

Area = 4,951,000 square meters

To write the area in square meters in scientific notation, we have

Area = 4.95 * 1,000,000 square meters

So, we have

Area = 4.95 * 10⁶ square meters

Hence, the area is 4.95 * 10⁶ square meters

Read more about scientific notation at

https://brainly.com/question/34659710

#SPJ3

Find the volume of each prism. Please help mee and thank you.​

Answers

Answer:

Step-by-step explanation:

help me ive been up all night doing math​

Answers

Answer:

See below ~

Step-by-step explanation:

(a)

The point (8, 28) represents that in the time of 8 minutes, 28 cm of the horse trough has been filled.

8 minutes 28 centimeters

(b)

Finding the unit rate

No. of centimeters / min.28 cm / 8 min3.5 cm/min

need help please with info

Answers

Answer:

So the whole thing is 180, we already have 3x+12, it's C.
Because A would be 3x +180 (1803x) +something else which would bring it over 180.

Step-by-step explanation:

C is the answer because 180 is the toal and it isn't going over 180 right away.

Answer:

C. (3x +12) + x = 180°

Step-by-step explanation:

(3z+12)° is obtuse. x° is acute.

Both are supplementary angles that are linear pair that add up to 180°

(3x + 12)° + x° = 180°

4x + 12 = 180°

4x = 168°

x = 42°

Plug x into (3x + 12)°

3*42° + 12

126 + 12

138°

A rectangular prism has a base of 15 ft2 and a height of 9 ft. What is the volume of the rectangular prism?

Answers

Answer:

135 ft^3

Step-by-step explanation:

Volume of a rectangular prism is basically just width x height x depth. So the area of the base multiplied by the height. 15 x 9 = 135

Answer: 135 ft³

Step-by-step explanation:

     Volume, when dealing with a rectangular prism, is L * W * H

-> L * W can simplify to the base, as it does in the problem given to us.

V = (L * W) * H

V = B * H

V = 15 * 9

V = 135 ft³

          The rectangular prism has a volume of 135 ft³.

Solve for x. The triangles in each pair are similar.

Answers

Step-by-step explanation:

similar triangles means that all angles in one triangle are exactly the same as the angles in the other triangle.

and the lengths of all sides of one triangle have the same scaling factor with the lengths of the sides of the other triangle.

so, when we compare the "features" of the triangles, we see that C corresponds to S, B to R and D to T.

so, DC (50) corresponds to TS (70).

and that means that CB (60) corresponds to SR (11x - 4).

the scaling factor from BCD to RST is 70/50 = 7/5.

that means DC × 7/5 = TS.

and CB × 7/5 = SR :

60 × 7/5 = 11x - 4

12 × 7 = 11x - 4

84 = 11x - 4

88 = 11x

x = 8

Reflect the triangle in the mirror line.

Answers

For this, you are basically flipping the shape. So the bottom-most point on the triangle will be the same on the x-axis, but will be -1 on the y-axis in its image (new form).

The top left point will stay the same in the x-axis, and will be -4 on the y-axis

Finally, the top right point will stay true same on the x-axis, but will be -4 on the y-axis in its image.

If you could mark my answer the brainliest it would be very much appreciated!

Solve the following problems mentally and match it to its corresponding solution.
Pls Help
4t = 40

10 + t = 14

70 - t = 30

multiple answers , 40, 10 , 4

Answers

Answer:

1. t=102. t=43. t=40

Step-by-step explanation:

Isolate the term of t from one side of the equation.

1. 4t=40

First, you have to divide by 4 from both sides.

4t/4=40/4

Solve.

Divide the numbers from left to right.

40/4=10

t=10

2. 10+t=14

First, change sides.

t+10=14

Then, subtract by 10 from both sides.

t+10-10=14-10

Solve.

Subtract the numbers from left to right.

14-10=4

t=4

3. 70-t=30

First, subtract by 70 from both sides.

70-t-70=30-70

Solve.

30-70=-40

Rewrite the problem down.

-t=-40

Divide by -1 from both sides.

-t/-1=-40/-1

Solve.

Divide the numbers from left to right.

-40/-1=40

t=40

Therefore, the correct answer is t=10, t=4, and t=40.

I hope this helps! Let me know if you have any questions.

Answer:

4t =40 t= 10  4x10=40

10 + t = 14 t=4   10 + 4 = 14

70 - t =30 t= 40  70 - 40 = 30

Hope this helps!

Jason went shopping.
he bought a watch and a pair of trainers for a total price of £53.55
This price includes a 15% loyalty discount.
before the discount, the trainers were priced at £38.
work out the price of the watch before the discount

Answers

Answer:

£25

Step-by-step explanation:

100 - 15 = 85

53.55 ÷ 0.85 = 63

63 - 38 = 25

The thickness of a book varies directly with
the number of pages in the book. A book is
1.8 cm thick and contains 350 pages. What is
the thickness of the first 84 pages of the book?

Answers

[tex]\qquad \qquad \textit{direct proportional variation}\\\\\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill }\\\\\textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill }\\\\[-0.35em]~\dotfill[/tex]

[tex]\stackrel{\textit{"th" varies directly with "p"}}{th=kp}\qquad \textit{we also know that} \begin{cases} th=1.8\\ p=350 \end{cases} \\\\\\ 1.8=k(350) \implies \cfrac{9}{5}=350k\implies \cfrac{9}{1750}=k~\hfill \boxed{th=\cfrac{9}{1750}k} \\\\\\ \textit{when p = 84, what is "th"?}\qquad th=\cfrac{9}{1750}(84)\implies th=\cfrac{54}{135}\implies th=0.432[/tex]

question is in the picture

Answers

1) we move 5 digits to the left:10^5

2) we move 4 digits to the left:10^4

3) we move 3 digits to the left:10^3

Keep in mind we are dividing by the powers of ten, if we were to be multiplying then it would have been 10^-5,10^-4 ect..

Answer:

the avswers are

1. 100,000

2. 10,000

3. 1,000

Step-by-step explanation:

divide the number by one and then keep adding zeros

select 3 ratios that are equvilant to 5:2

Answers

Answer:

10/4

15/6

20/8

Step-by-step explanation:

Find the volume of each composite figure please help

Answers

Volumn = LWH
small rectangle = 5 x 5 x 12 = 300 sq yds
Larger rectangle = 4 x 12 x 18 = 864 sq yds

This a a vector please help 30 points please brainliest

Answers

Answer:

Option #4:

[tex]X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

Step-by-step explanation:

Start With

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-4\end{array}\right][/tex]

1. Pivot Element

[tex]P_{1} =a_{1,1}=5[/tex]

[tex]\left[\begin{array}{ccc}5&-2\\2&-1\end{array}\right] \left[\begin{array}{ccc}2\\-24\end{array}\right][/tex]

2. Pivot Element Again

[tex]P_{2} =a_{2,2}=-1[/tex]

[tex]\left[\begin{array}{ccc}-1&0\\0&-1\end{array}\right] \left[\begin{array}{ccc}-10\\-24\end{array}\right][/tex]

3.  Get x1 and x2 Values

[tex]\left \{ {{(-1)*x_{1}=(-10)} \atop {(-1)*x_{2}=(-24)}} \right.[/tex]

[tex]-x_{2} = (-24)\\x_{2} = 24\\\\-x_{1} = (-10)\\x_{1} = 10\\[/tex]

4. Get Answer

[tex]x_{1}=10\\x_{2}=24\\\\X=\left[\begin{array}{ccc}10\\24\end{array}\right][/tex]

20000 lb equals how many US tons​

Answers

Answer:

10 us tons

Step-by-step explanation:

Answer:

10 Tons

Step-by-step explanation:

this is becuase 2k or 2,000 lbs is equal to 1 US Ton

simply devide the lbs by 2,000 to get the same amount in US Tons

Help help pls pls!!!

Answers

Answer:

b

Step-by-step explanation:

eg2022

Which of the following shapes are quadrilaterals?
please help asap I'll make brainliest ​

Answers

Answers: A and C

Explanation:

A quadrilateral has four sides, and each side is a straight line.

Quad = 4

Lateral = side

This means we go for choices A and C.

Choice B is ruled out because of the curved side on the right.

Choice D is ruled out because it has 5 sides instead of 4.

HELP WILL MARK BRAINLIEST EXTRA POINTS!!!

Answers

Answer:

Step-by-step explanation:

All of the angles will equal up to 180

10x-10=180

180+10 is 190

190=10x     190/10=x     x=19 or R

<Q: 19*2=38-5=33    <Q:33

<P:133-5=128    <P:128

128+33+19=180,

Double checking to fact check the asnwers.

Kate's Cupcakes sells cupcakes in boxes of 4. Depending on the type of cupcake, a box can cost at most $20. Let x represent how much each cupcake costs. Which inequality describes the problem?

Answers

Answer:

4×<=20

×<=5

AAAAA single Cupcake can cost at most $5.

Step-by-step explanation:

x _> 5
A cupcake needs to be $5 each for a box of 4 to cost $20. Meaning that a cupcake (x) will be $5 or less.

Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)


4. √(5) * √(5) * √(9)

Answers

[tex]\sqrt 5 \cdot \sqrt 5 \cdot \sqrt 9\\\\=\left( \sqrt 5\right)^2 \cdot \sqrt{3^2}\\\\=5\cdot 3\\\\=15[/tex]

B
c
а
A
b
Use the diagram above and round your answer to the nearest hundredth.
If a is 6 in. and ZA = 31°, what is b?

Answers

Need more info don’t really understand what’s the diagram

I NEED HELP PLEASE I NEED TO KNOW HOW U GOT THE ANSWER PLEASE

Answers

Linear is basically a straight line. It can be increasing or decreasing.

Decreasing is when on the graph, when x increases, y decreases.

On the graph, there are two parts that are decreasing. Between -2 and 0, and Between 2 and 4. Let's look at these two.

- For between -2 and 0, the line is not straight. Therefore, it is decreasing and nonlinear. We can check if this is the right answer.

- For between 2 and 4, the line is decreasing. However, the line is straight, which means it is decreasing but linear.

Your final answer is B.

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